The Barban-Davenport-Halberstam theorem is a result in analytic number theory about the distribution of prime numbers across arithmetic progressions. Over the long run, primes are distributed roughly equally among the possible progressions sharing a given common difference; theorems of the Barban-Davenport-Halberstam type supply estimates for the error term in that equidistribution, measuring how closely the true distribution of primes approaches the uniform ideal. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
StatementTheorems of the Barban-Davenport-Halberstam type give estimates for the error term, determining how close to uniform the distribution of primes across arithmetic progressions is. 1 Classification
Statement Form Connections
Has Statement Form
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
Sources
1. Barban-Davenport-Halberstam theorem (Wikipedia)
IntroductionQuote, Introduction
Theorems of the Barban?Davenport?Halberstam type give estimates for the error term, determining how close to uniform the distributions are
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.